Recent Progress in B Physics2012.3

1. B physicsexperiments and theory 2. Recent progress and puzzlesFactorization ApproachesStudy for pure annihilation decays 5. Summary and expectationsOutline

1. B physics

---BCP------

BCP sin(2) 100 ExoticX, Y, Z find some puzzles1.1 B

Hep-ph/1010.1589v3

For the discovery of the mechanism of spontaneous broken symmetry in subatomic physics", the other half jointly to M. Kobayashi and T.Maskawa "for the discovery of the origin of the broken symmetry which predicts the existence of at least three families of quarks in nature".Belle+BaBar results lead to Nobel Prize at 2008

Belle Collaboration: 59 (2+4)IHEP, C.Z.Yuan,C.C.Zhang, C.P.Shen et al., USTC, Z.P.Zhang et al.,Other 4 groups from Taiwan

see 1202. 5632ex: Observation of new resonant structures in \to , and Z. Q. Liu, C. P. Shen, C. Z. Yuan, et al., Belle Collaboration

BaBar ?

LHC Physics Run Starts at 2009

LHCb Collaboration: 1/56; , Y.N. Gao, et al., see 1202. 5087ex: Search for the X(4140) state in B+ to J/psi phi K+ decays, LHCb Collaboration: R. Aaij, et al., SuperB will start taking data in 2015, and the first full run is expected in 2016-2017. Super-B experiments are searchng for NP by phases, CP asymmetries, rare decays, absolute branhcing fractions, etc; Super-B is complementary to the LHC, the direct discovery of new particles!

Overview of the SuperKEKB/Belle II ProjectTom Browder (University of Hawaii)Talk given by T. Browder at FPCP 2011*

B: ,,,,etc: ,,,,etc: , ,etc: , ,etc:,,,,,,,,,,,,,,,,, ,,``CP

2. Recent progress and puzzles

At the 2011 summer conferences , many new results are reported. For details, one can see their talks or relevant papers. I here select several pages from the summary talk present by F. Teubert at FPCP 2011.

K puzzle ! Sin(2)

Say sorry to F. Teubert for using his ppt without his permition!Flavour Physics at LHC

3. Factorization Approaches: QCDF/SCET, pQCD,

B

1. Low-energy effective Hamitonian

2. Wilson Coefficients and their running

3. Wave functions of the relevant mesons

4. Factorization for hadronic B decays3. Factorization: QCDF/SCET, pQCD

1+2Wilson

---known at full NLO, partial NNLO results, such as b s, B

3Wave funcations, DFs: B

3 ketc

---- known at Twist-2 and Twist-3;

---- Gegenbauer moments a1, a2, a4, 3, 3 , etc CP

---- P. Ball, T. Feldmann, P. Kroll, B.~Stech,

----

Why making Factorization ? MW >> mb >> QCD

B M1 M2 :---- Hard part: Wilson ---- ---- NF, GNF, QCDF, BPRS/SCET, pQCD,

BCompact QCDBBNS---QCD

B M1M2TITIIDAs

BBNS LeadingVertexCi()-- :(a+b), (c+d)(a+c),(b+d),(c+d);-- (J/Psi);-- O(s)CP-- PRL,83(1999) 1914; NPB,591(2001)313 NPB, 675(2003)333; --

BBNS PenguinHard Spectator-- EBBS -- fO8g--

BBNS Beneke, Buchalla, Neubert, Sachrajda, ---- PRL,83(1999) 1914; NP B 591 (2001)313; NP B675 (2003) 333; B751(2006)160, B768(2007)51; etc ---- PR D65,074001(2002); D67, 014023(2003); D68, 054003(2003); NP B609(2001)469; etc et al., --- PR D69,054009(2004), PRL 96,092001(2006), PRL 98,092003(2007) etc.

BBNS -SCET M.Beneke, Beauty 2006

Integrating out at scale mb [QCD SCETI ]

QCDSCET_Imatching-- CICII NF---

--- Spectator

Integrating out at [SCETI SCETII ] [B-M1] BM1 hard-collinear J

QCDF/SCET--- TIHII J

QCDF/SCET--- 1-Loop J J hard-collinear Beacher, Hill, Lee, Neubert, JHEP 07(2004)081; M.Beneke, D.S.Yang, NP B738(2006)34;

--- 1-Loop HII0(s2)Spectator Beneke, Jager, NP B751(2006)160; 768(2007)51; X.Q.Li , Y.D.Yang, PR D72, 074007(2004) --- Perturbative theory well-behaved; --- Large enhancement to C; --- Negligible corrections to QCD penguin amplitude

SCETSoft-Collinear-Effective Theory

BPRSC.W.BauerD. PirjolI.Z. Rothstein, I.W. Stewart See: Stewarttalk at FPCP 2007

KT , pQCDFor more details, see Hsiang nan Lis relevant talks or review papers

Lepage BrodskyB M1 M2 H.n Li, Sanda, Mishima, Kou, KeumAliet al., kT QCD kT

No End-point singlarity in KT factorization B --- SC-xi0,1-- QCDF

KT KT

--- --- pQCD

Sudakov RG overlap--- Sudakov

b bSudakov0 b

B- K-pQCDLO-- abF0,1(0)--

B- K-pQCDLO-- --

B- K-pQCDNLO-- QCDFQCDWilson

B- K-pQCDNLO-- quark-loop-- 0(s2)

B- K-pQCDNLO-- O8g--- 0(s2)

Partial NLO contributions in pQCD

4pQCDB/Bs/Bc

--- Our pQCD prediction given at 2004 Br(Bs^0 \to \pi^+ \pi^-) =4.2 x 10^{-7}was confirmed by recent CDF and LHCb experiments at 2011 --- Its a pure annihilation Bs decay, the TH predictions based om QCDF is very small: only 10^{-8}

4.1 Bs \to \pi^+ \pi^- decay

Our pQCD prediction given at 2004 Br(Bs^0 \to \pi^+ \pi^-) =4.2 x 10^{-7}

The pQCD prediction given at 2007 Br(Bs^0 \to \pi^+ \pi^-) =5.7 x 10^{-7}

CDF Results

F.Ruffini, 1107.5760ex

CDF Results

F.Ruffini, 1107.5760ex

LHCb Results

Powell, PANIC 2011, MIT

--- The pQCD prediction given by Chen and Li at 2001 is very small: Phys.Rev.D64,014003 (2001) Br(B^0 \to K^+ K^-) =5 x 10^{-8} Only 1/3 of the measured value from CDF and LHCb: Br(B^0 \to K^+ K^-) = 1.4 x 10^{-7} --- we recalculate this decay recently, and find that Br(B^0 \to K^+ K^-) =1.5 x 10^{-7} Well consistent with the data! 4.2 B^0 \to K^+ K^- decay

phep-ph/1111.6264

pQCD predictions

pQCD predictions

three reasons:DAs of the kaon meson used by Li are very different from those used in this paper;some new Gegenbauer moments are used in this paper.(c) The constructive interference between three parts also play an important role! Why 2 pQCD predictions so different ?

DAs used in this our paper DAs used in Phys.Rev. D 63,014003(2001)

Contributions from twist-2 and -3 parts

For Bs^0 \to \pi^+ \pi^- decay, our pQCD predictions are confirmed by both CDF and LHCb experiments! For B^0 \to K^+ K^- decay, our new pQCD predictions agree well with the measured values from CDF and LHCb experiments!

For the pure annihilation B_c decays, we have calculated about 200 chanels: B_c PP, PV, VV, SP, SV, AV, VA

Xin Liu, Z.J. Xiao and C.D. Lv, [1] Phys.Rev. D81, 014022 (2010); [2] Phys.Rev. D81, 074017 (2010); [3] Phys.Rev. D82, 054029 (2010); [4] J. Phys. G38, 035009 (2011); [5] Phys.Rev. D84, 074033 (2011);

pQCD predictions to be tested at LHC

20, B! 2008! puzzle, solid evidence pQCDNLO 5Summary

Expectations LHCHiggs LHCb, Super-B b CKMCPLHC B,, ,!

FPCP 2012

SCETSCET is an effective theory by integrating out high energy modes.Define effective fields (like collinear quarks, collinear gluons, soft quarks,).Express an amplitude in terms of expansion of nonlocal operators of these effective fields.The coefficients of these operators are the hard kernels. The matrix element of the operators are DAs.Compute hard kernels, and show their IR finiteness order by order.

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